Sponsor
This work was supported in part by the National Science Foundation under grant ECS-90144B1.
Published In
Journal of the Optical Society of America A: Optics, Image Science and Vision
Document Type
Article
Publication Date
4-1-1997
Subjects
Gaussian beams, Lasers, Numerical analysis, Matrices -- Mathematical models
Abstract
Systematic procedures are presented for determining the optical components needed to produce an arbitrary transformation of a Gaussian light beams's spot size, radius of curvature, displacement, and direction of propagation. As an example, an optical system is considered that spatially separates the two coincident Gaussian beams produced by a high-diffraction-loss resonator that uses a Gaussian variable-reflectivity output coupler. In addition, an ABCDGH reverse matrix theorem and an ABCDGH Sylvester theorem are also derived. These matrix theorems may be used to satisfy special constraints inherent in the design of multipass and periodic optical systems.
DOI
10.1364/JOSAA.14.000882
Persistent Identifier
http://archives.pdx.edu/ds/psu/8217
Citation Details
Anthony A. Tovar and Lee W. Casperson, "Generalized beam matrices. IV. Optical system design," J. Opt. Soc. Am. A 14, 882-893 (1997).
Description
This paper was published in Journal of the Optical Society of America A and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-14-4-882. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.